Seven new champion linear codes

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Brown, Gavin and Kasprzyk, Alexander M. (2013) Seven new champion linear codes. LMS Journal of Computation and Mathematics, 16 . pp. 109-117. ISSN 1461-1570

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Abstract

We exhibit seven linear codes exceeding the current best known minimum distance d for their dimension k and block length n. Each code is defined over F₈, and their invariants [n,k,d] are given by [49,13,27], [49,14,26], [49,16,24], [49,17,23], [49,19,21], [49,25,16] and [49,26,15]. Our method includes an exhaustive search of all monomial evaluation codes generated by points in the [0,5] x [0,5] lattice square.

Item Type: Article
RIS ID: https://nottingham-repository.worktribe.com/output/715163
Additional Information: Peer reviewed article published: Gavin Brown and Alexander M. Kasprzyk (2013). Seven new champion linear codes. LMS Journal of Computation and Mathematics, 16, pp 109-117. doi:10.1112/S1461157013000041.
Schools/Departments: University of Nottingham, UK > Faculty of Science > School of Mathematical Sciences
Identification Number: 10.1112/S1461157013000041
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https://www.lms.ac.uk/publications/journals
Publisher
Depositing User: Kasprzyk, Dr Alexander
Date Deposited: 12 Nov 2015 11:48
Last Modified: 04 May 2020 16:36
URI: https://eprints.nottingham.ac.uk/id/eprint/30736

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